Factorise : (a^2 - b^2) c + (b^2 - c^2)a - Vidyadip

Question

Factorise : $(a^2 - b^2) c + (b^2 - c^2)a$

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Answer

$(a^2 - b^2) c + (b^2 - c^2)a$
$= a^2c - b^2c + ab2 - ac^2$
$= a^2c - ac^2 + ab^2 - b^2c$
$= ac (a - c) + b^2 (a - c)$
$= (a - c) (ac + b^2)$

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